中文

New bounds on the Lieb-Thirring constants

数学物理 2009-10-31 v1 偏微分方程分析 math.MP 谱理论

摘要

Improved estimates on the constants Lγ,dL_{\gamma,d}, for 1/2<γ<3/21/2<\gamma<3/2, dNd\in N in the inequalities for the eigenvalue moments of Schr\"{o}dinger operators are established.

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引用

@article{arxiv.math-ph/9906013,
  title  = {New bounds on the Lieb-Thirring constants},
  author = {D. Hundertmark and A. Laptev and T. Weidl},
  journal= {arXiv preprint arXiv:math-ph/9906013},
  year   = {2009}
}